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130404213220 = 22518553351437
BaseRepresentation
bin111100101110010110…
…0100110000111100100
3110110121002112101220211
41321130230212013210
54114031434310340
6135523514505204
712264352344361
oct1713454460744
9413532471824
10130404213220
1150338862546
1221334135204
13c3b285ca58
146451049468
1535d35aa5ea
hex1e5cb261e4

130404213220 has 24 divisors (see below), whose sum is σ = 273864387384. Its totient is φ = 52158725376.

The previous prime is 130404213193. The next prime is 130404213287. The reversal of 130404213220 is 22312404031.

It can be written as a sum of positive squares in 4 ways, for example, as 1007173696 + 129397039524 = 31736^2 + 359718^2 .

It is a junction number, because it is equal to n+sod(n) for n = 130404213191 and 130404213200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 195342 + ... + 546778.

It is an arithmetic number, because the mean of its divisors is an integer number (11411016141).

Almost surely, 2130404213220 is an apocalyptic number.

130404213220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130404213220 is an abundant number, since it is smaller than the sum of its proper divisors (143460174164).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

130404213220 is a wasteful number, since it uses less digits than its factorization.

130404213220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369999 (or 369997 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 130404213220 its reverse (22312404031), we get a palindrome (152716617251).

The spelling of 130404213220 in words is "one hundred thirty billion, four hundred four million, two hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 18553 37106 74212 92765 185530 351437 371060 702874 1405748 1757185 3514370 7028740 6520210661 13040421322 26080842644 32601053305 65202106610 130404213220